SOME NOVEL FRACTIONAL INTEGRAL INEQUALITIES FOR DIFFERENT KINDS OF CONVEX FUNCTIONS

Year 2023, Volume: 9 Issue: 1, 27 - 32, 30.06.2023

Sinan Aslan

Abstract

In this paper, some novel integral inequalities for different kinds of
convex functions have been proved by using Caputo-Fabrizio fractional integral
operators. The findings includes several new integral inequalities h-convex
functions, s-convex functions in the second sense. We have used the properties
of Caputo-Fabrizio fractional operator, definition of different kinds of convex
functions and elemantery analysis methods.

Keywords

Caputo-Fabrizio fractional integral operator, h−convex functions, s−convex functions.

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